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Finding the Fourth Proportional to 51,805.76, 77,706.81 and 16,744.50

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Solution

The fourth proportional to 51,805.76, 77,706.81 and 16,744.50 is: 25,116.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,805.76 : 77,706.81 = 16,744.50 : x
  2. Step 2: Convert to fraction form
    51,805.76/77,706.81 = 16,744.50/x
  3. Step 3: Cross multiply
    51,805.76x = 77,706.81 × 16,744.50
  4. Step 4: Simplify right side
    51,805.76x = 1,301,161,680.05
  5. Step 5: Solve for x
    x = 1,301,161,680.05/51,805.76
  6. Step 6: Final answer
    x = 25,116.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.